The fixed point property in convex multi-objective optimization problem.
The fixed point theorem and the boundedness of solutions of differential equations in the Banach space
The properties of solutions of the nonlinear differential equation in a Banach space and of the special case of the homogeneous linear differential equation are studied. Theorems and conditions guaranteeing boundedness of the solution of the nonlinear equation are given on the assumption that the solutions of the linear homogeneous equation have certain properties.
The formal Laplace--Borel transform of Fliess operators and the composition product.
The Hopf bifurcation theorem for parabolic equations with infinite delay
The existence of the Hopf bifurcation for parabolic functional equations with delay of maximum order in spatial derivatives is proved. An application to an integrodifferential equation with a singular kernel is given.
The iterative method of generalized -concave operators.
The method of subsuper solutions for weighted -Laplacian equation boundary value problems.
The periodic problem for semilinear differential inclusions in Banach spaces
Sufficient conditions on the existence of periodic solutions for semilinear differential inclusions are given in general Banach space. In our approach we apply the technique of the translation operator along trajectories. Due to recent results it is possible to show that this operator is a so-called decomposable map and thus admissible for certain fixed point index theories for set-valued maps. Compactness conditions are formulated in terms of the Hausdorff measure of noncompactness.
The price of liquidity in constant leverage strategies.
The Role of Green’s Functions in Inverse Scattering at Fixed Energy
The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces.
The spectrum of Schrödinger operators with random magnetic fields
We shall consider the Schrödinger operators on with the magnetic field given by a nonnegative constant field plus random magnetic fields of the Anderson type or of the Poisson-Anderson type. We shall investigate the spectrum of these operators by the method of the admissible potentials by Kirsch-Martinelli. Moreover, we shall prove the lower Landau levels are infinitely degenerated eigenvalues when the constant field is sufficiently large, by estimating the growth order of the eigenfunctions...
The Study of two Evolutionary random Nonlinear Problems
The triangle and the open triangle
We show that for percolation on any transitive graph, the triangle condition implies the open triangle condition.
The von Neumann minimax theorem revisited
Théorie de la diffusion pour le modèle en théorie des champs
Théorie de la diffusion pour un atome couplé à un champ quantique
Three periodic solutions for a class of higher-dimensional functional differential equations with impulses
By using the well-known Leggett–Williams multiple fixed point theorem for cones, some new criteria are established for the existence of three positive periodic solutions for a class of n-dimensional functional differential equations with impulses of the form ⎧y’(t) = A(t)y(t) + g(t,yt), , j ∈ ℤ, ⎨ ⎩, where is a nonsingular matrix with continuous real-valued entries.
Three positive solutions for a system of singular generalized Lidstone problems.
Three positive solutions for -Laplacian functional dynamic equations on time scales.
Time-scale-dependent criteria for the existence of positive solutions to -Laplacian multipoint boundary value problem.